{"status": "success", "data": {"description_md": "The inscribed circle of triangle $ABC$ is tangent to $\\overline{AB}$ at $P,$ and its radius is 21. Given that $AP=23$ and $PB=27,$ find the perimeter of the triangle.\n___\nLeading zeroes must be inputted, so if your answer is `34`, then input `034`. Full credit goes to [MAA](https://maa.org/) for authoring these problems. These problems were taken on the [AOPS](https://artofproblemsolving.com/) website.", "description_html": "<p>The inscribed circle of triangle <span class=\"katex--inline\">ABC</span> is tangent to <span class=\"katex--inline\">\\overline{AB}</span> at <span class=\"katex--inline\">P,</span> and its radius is 21. Given that <span class=\"katex--inline\">AP=23</span> and <span class=\"katex--inline\">PB=27,</span> find the perimeter of the triangle.</p>&#10;<hr><p>Leading zeroes must be inputted, so if your answer is <code>34</code>, then input <code>034</code>. Full credit goes to <a href=\"https://maa.org/\">MAA</a> for authoring these problems. These problems were taken on the <a href=\"https://artofproblemsolving.com/\">AOPS</a> website.</p>", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 5, "problem_name": "1999 AIME Problem 12", "can_next": true, "can_prev": true, "nxt": "/problem/99_aime_p13", "prev": "/problem/99_aime_p11"}}